Question

Resolva as equações do 2°grau
A) X2-5X+6=0
B) X2-8X+12=0

Answer 1

A)x²-5X+6=0

∆=b²-4·a·c

∆=(-5²)-4·1·6

∆=25-24

∆=1

x=-b+-√∆/2·a

x=-(-5)+-√1/2·1

x=5+-1/2

x¹=5+1/2=6/2=3

x²=5-1/2=4/2=2

S={3,2}

B)x²-8x+12=0

∆=b²-4·a·c

∆=(-8²)-4·1·12

∆=64-48

∆=16

x= -b+-√∆/2·a

x=-(-8)+-√16/2·1

x=8+-4/2

x¹=8+4/2=12/2=6

x²=8-4/2=4/2=2

S={6,2}